Always nice to have an OEM accessory in our vehicle. I do hope they will fix this lag in the near future.
Here are some real world numbers performed by me and results are consistent:
Logging in the Mazda Mobile Start App:
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22 Seconds to complete
Once you are logged in you can perform the following options:
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Starting the Car:
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20 Seconds to Complete (note that I was prompted to put in my 4 digit pin)
Stopping the Car:
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18 Seconds to Complete (was NOT prompted to put in 4 digit pin)
Locking the Door Locks:
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20 Seconds to Complete (was NOT prompted to put in 4 digit pin)
Note: I believe there is a timeout in the Mazda App, which you will then be prompted to put your 4 digit pin again if you want to perform other actions.
So my opinion is that it is slow but not terribly slow to the point where you want to start cursing.
I do want to mention that if you are connected to another WIFI (such as a Mall WIFI), some networks might prevent you to use the Mazda App due to some restrictions. For example, some WIFI networks might have some firewall or port permissions. I know for a fact that I cannot view my home cameras from certain WIFI networks on my iphone.
I found that using your own LTE network is the most reliable.